Name:______Date:______Hour: 1 2 3 4 5 6
Newton’s 2nd Law Relationships
Directions: fully explain long answer questions and show all necessary steps of math and work for relationship problems. Don’t forget, a “newton” is made from multiplying a “kg” and “m/s2”. Work for a relationship problem is 1) formula, 2) write in multipliers, 3) factor of change, 4) how that changes your answer if necessary.
1) What is the relationship between acceleration and force? What does that mean?
2) What is the relationship between acceleration and mass? What does that mean?
3) Explain/show what would happen to acceleration if…
a) The force doubled? (a x 2)
b) The mass doubled? (a / 2)
c) The force and mass both doubled? (a = a)
d) The force was cut in half? (a / 2)
e) The mass was cut in half? (a x 2)
f) The force was doubled and the mass was half? (a x 4)
g) The force was doubled and the mass quadrupled? (a / 2)
4) Explain/show what would happen to an acceleration of 8 m/s2 if…
a) The force doubled? (a = 16 m/s2)
b) The mass doubled? (a = 4 m/s2)
c) The force and mass both doubled? (a = 8 m/s2)
d) The force was cut in half? (a = 4 m/s2)
e) The mass was cut in half? (a = 16 m/s2)
f) The force was doubled and the mass was half? (a = 32 m/s2)
g) The force was doubled and the mass quadrupled? (a = 4 m/s2)
5) Explain/show what would happen to an acceleration of -31.7 m/s2 if…
a) The force doubled? (a = -63.4 m/s2)
b) The mass doubled? (a = -15.85 m/s2)
c) The force and mass both doubled? (a = -31.7 m/s2)
d) The force was cut in half? (a = -15.85 m/s2)
e) The mass was cut in half? (a = -63.4 m/s2)
f) The force was doubled and the mass was half? (a = -126.8 m/s2)
g) The force was doubled and the mass quadrupled? (a = -15.85 m/s2)
6) Using the formula for Newton’s 2nd Law, show the unit math for how SI units for mass are multiplied by SI units for acceleration to come up with SI units for force. Also, note what units a “Newton” is constructed from.
7) Using the formula for Newton’s 2nd Law, show the unit math for how SI units for force are divided by the SI units for mass to come up with the SI units for acceleration.
8) Using the formula for Newton’s 2nd Law, show the unit math for how SI units for force are divided by the SI units for acceleration to come up with the SI units for mass.